Information on Result #907060
Linear OOA(8171, 3527, F81, 2, 25) (dual of [(3527, 2), 6983, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8122, 246, F81, 2, 12) (dual of [(246, 2), 470, 13]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(814, 82, F81, 2, 4) (dual of [(82, 2), 160, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;160,81) [i]
- linear OOA(816, 82, F81, 2, 6) (dual of [(82, 2), 158, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;158,81) [i]
- linear OOA(8112, 82, F81, 2, 12) (dual of [(82, 2), 152, 13]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;152,81) [i]
- linear OOA(814, 82, F81, 2, 4) (dual of [(82, 2), 160, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(8149, 3281, F81, 2, 25) (dual of [(3281, 2), 6513, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8171, 1763, F81, 4, 25) (dual of [(1763, 4), 6981, 26]-NRT-code) | [i] | OOA Folding | |